We do not have straight sides so we need to use integration to solve this problem.
We will use <span>method of vertical strips.
</span>We divide the area A into thin vertical strips of width dx, height y2-y1<span> and integrate from x1 to x2.
</span>Assuming that lower left angle of dividers is in position (0,0) we have:
y2=3
y1=0
x1=0
x2=8
Area is lower than 25ft^2 so <span>the can of paint is able to cover an area.</span>
BD is the bisector, so you just divide 40 by 2 to get 20, your answer.
The simplified form of the expression is 729x^33
Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
</em>
<em>
</em>
<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
</em>
<em>
</em>
<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
</em>
<em>
</em>
<em>
2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
</em>
<em>
</em>
<em>
C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
</em>
<em>
</em>
<em>
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
</em>
<em>
</em>
<em>
Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
the ratio of the number of kids is 4:7
that means for every 7 kids we have 4 adults
7 kids ---- 4 adults
the difference is 3
we dived the difference of the kids between the difference of the ratio
150/3 = 50
the number we obtained must be multiply by the ratio of each part
7(50) = 350 number of kids
4(50)=200 number of adults
there are 200 adults at the fun fair
